What is the integral from-infinity to 0 of xe^{8x} ?

The integral from-infinity to 0 of xe^{8x} is -1/64

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integral from-infinity to 0 of xe^{8x}

\int_{- \infty}^{0} x e^{8 x} d x

- \frac{1}{64}

Decimal

- 0.015625

Solution steps

\int_{- \infty}^{0} x e^{8 x} d x

Compute the indefinite integral:

\int x e^{8 x} d x = \frac{1}{64} (e^{8 x} \cdot 8 x - e^{8 x}) + C

Compute the boundaries:

\int_{- \infty}^{0} x e^{8 x} d x = - \frac{1}{64} - 0

= - \frac{1}{64} - 0

Simplify

= - \frac{1}{64}

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y^{^{'''}} + 3 y^{^{''}} - 16 y^{^{'}} - 48 y = 0

\int_{- 3}^{3} \frac{18}{x ^{2} - 6 x - 72} d x

What is the integral from-infinity to 0 of xe^{8x} ?
The integral from-infinity to 0 of xe^{8x} is -1/64